avalachmann
avalachmann avalachmann
  • 04-02-2021
  • Mathematics
contestada

what is the measure of a single interior angle of a regular 34-gon?​

Respuesta :

elcharly64
elcharly64 elcharly64
  • 04-02-2021

Answer:

The measure of a single interior angle is 169.4°

Step-by-step explanation:

Angles in Regular Polygons

The sum of the interior angles, in degrees, of a regular polygon, is given by the formula 180(n – 2), where n is the number of sides.

For a regular 34-gon, n=34, and the sum of the interior angles is:

180(34 – 2)=5,760°

The measure of any of the interior angles is

[tex]\frac{5,760}{34}=169.4^\circ[/tex]

The measure of a single interior angle is 169.4°

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